The cycloid is given parametrically by and for

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The cycloid is given parametrically by

x=t-\sin t

and

y=1-\cos t

for

0<t<2\pi

. What is the value of

\dfrac{d^{2}y}{dx^{2}}

at

t=\pi

? (a)

0

(b)

\dfrac{1}{4}

(c)

-\dfrac{1}{4}

(d)

-\dfrac{1}{2}

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